| Label |
Cremona label |
Class |
Cremona class |
Class size |
Class degree |
Conductor |
Discriminant |
Rank |
Torsion |
$\textrm{End}^0(E_{\overline\Q})$ |
CM |
Sato-Tate |
Semistable |
Potentially good |
Nonmax $\ell$ |
$\ell$-adic images |
mod-$\ell$ images |
Adelic level |
Adelic index |
Adelic genus |
Regulator |
$Ш_{\textrm{an}}$ |
Ш primes |
Integral points |
Modular degree |
Faltings height |
j-invariant |
$abc$ quality |
Szpiro ratio |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
| 62790.bu8 |
62790bt3 |
62790.bu |
62790bt |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 7^{6} \cdot 13^{12} \cdot 23^{3} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.12.0.7, 3.8.0.2 |
2B, 3B.1.2 |
$7176$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$3$ |
$57065472$ |
$4.104675$ |
$15005102139088880168192111025119/17288486242801155608083603200$ |
$1.02272$ |
$6.49791$ |
$[1, 0, 0, 513852430, 4463105748612]$ |
\(y^2+xy=x^3+513852430x+4463105748612\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 4.12.0-4.c.1.1, 6.24.0-6.a.1.2, 12.96.0-12.c.2.8, $\ldots$ |
$[]$ |
| 188370.r8 |
188370cc3 |
188370.r |
188370cc |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{8} \cdot 3^{10} \cdot 5^{2} \cdot 7^{6} \cdot 13^{12} \cdot 23^{3} \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$7176$ |
$384$ |
$5$ |
$3.917938449$ |
$1$ |
|
$11$ |
$456523776$ |
$4.653984$ |
$15005102139088880168192111025119/17288486242801155608083603200$ |
$1.02272$ |
$6.45287$ |
$[1, -1, 0, 4624671870, -120503855212524]$ |
\(y^2+xy=x^3-x^2+4624671870x-120503855212524\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 12.96.0-12.c.2.7, $\ldots$ |
$[(45780, 13657686)]$ |
| 313950.h8 |
313950h3 |
313950.h |
313950h |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{8} \cdot 3^{4} \cdot 5^{8} \cdot 7^{6} \cdot 13^{12} \cdot 23^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$35880$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$1369571328$ |
$4.909393$ |
$15005102139088880168192111025119/17288486242801155608083603200$ |
$1.02272$ |
$6.43459$ |
$[1, 1, 0, 12846310750, 557888218576500]$ |
\(y^2+xy=x^3+x^2+12846310750x+557888218576500\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.2, $\ldots$ |
$[]$ |
| 439530.cy8 |
439530cy3 |
439530.cy |
439530cy |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 23 \) |
\( - 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 7^{12} \cdot 13^{12} \cdot 23^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$50232$ |
$384$ |
$5$ |
$36.42048709$ |
$1$ |
|
$1$ |
$2739142656$ |
$5.077637$ |
$15005102139088880168192111025119/17288486242801155608083603200$ |
$1.02272$ |
$6.42334$ |
$[1, 1, 1, 25178769069, -1530820093004847]$ |
\(y^2+xy+y=x^3+x^2+25178769069x-1530820093004847\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.2, $\ldots$ |
$[(46987365961284891/279559, 10492715950970386839453306/279559)]$ |
